Let R(ABCDEFG) be a relation and F={A -> C, A-> D, B->F, E->F, F->G} a. Show example of lossless join decomposition of R into three tables R1, R2 and R3 and demonstrate that this decomposition is lossless using chase algorithm b. Find one key for this scheme and prove that it is a key using closure algorithm and definition of a key.

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